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311103122968 = 231117417369481
BaseRepresentation
bin1001000011011110011…
…00001110111000011000
31002202000022102010002201
410201233030032320120
520044114344413333
6354530243335544
731322265625261
oct4415714167030
91082008363081
10311103122968
1110aa35669990
12503639815b4
132344c221361
14110b39b7968
15815c31d17d
hex486f30ee18

311103122968 has 128 divisors (see below), whose sum is σ = 699678181440. Its totient is φ = 128065536000.

The previous prime is 311103122929. The next prime is 311103122969. The reversal of 311103122968 is 869221301113.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311103122969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4442788 + ... + 4512268.

Almost surely, 2311103122968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311103122968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349839090720).

311103122968 is an abundant number, since it is smaller than the sum of its proper divisors (388575058472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311103122968 is a wasteful number, since it uses less digits than its factorization.

311103122968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69629 (or 69625 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 311103122968 in words is "three hundred eleven billion, one hundred three million, one hundred twenty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 17 22 34 41 44 68 73 82 88 136 146 164 187 292 328 374 451 584 697 748 803 902 1241 1394 1496 1606 1804 2482 2788 2993 3212 3608 4964 5576 5986 6424 7667 9928 11972 13651 15334 23944 27302 30668 32923 50881 54604 61336 65846 69481 101762 109208 131692 138962 203524 263384 277924 407048 555848 559691 764291 1119382 1181177 1528582 2238764 2362354 2848721 3057164 4477528 4724708 5072113 5697442 6114328 9449416 10144226 11394884 12992947 20288452 22789768 25985894 31335931 40576904 48428257 51971788 55793243 62671862 86225921 96856514 103943576 111586486 125343724 172451842 193713028 207956633 223172972 250687448 344903684 387426056 415913266 446345944 532710827 689807368 831826532 948485131 1065421654 1663653064 1896970262 2130843308 2287522963 3535262761 3793940524 4261686616 4575045926 7070525522 7587881048 9150091852 14141051044 18300183704 28282102088 38887890371 77775780742 155551561484 311103122968